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Finding the Third Proportional to 60,244.50 and 128,225.06

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Solution

The third proportional to 60,244.50 and 128,225.06 is: 272,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,244.50 : 128,225.06 = 128,225.06 : x
  2. Step 2: Convert to fraction form
    60,244.50/128,225.06 = 128,225.06/x
  3. Step 3: Cross multiply
    60,244.50x = 128,225.06 × 128,225.06
  4. Step 4: Simplify right side
    60,244.50x = 16,441,666,653.13
  5. Step 5: Solve for x
    x = 16,441,666,653.13/60,244.50
  6. Step 6: Final answer
    x = 272,915.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.